Question

Find the sum of sequence 1,✓3,3,3✓3........upto 10 terms​

Answer 1

It is a G.P. with common ratio 'r' and the first term 'a' as √3.

Formula for sum to n terms of GP is (note here |r|>1)

a (r ⁿ - 1) / r – 1

[√3((√3) ⁿ - 1)] / (√3 – 1) = 39 + 13 √3 = 13√3(√3+1)

(√3) ⁿ - 1 = 13(√3+1) (√3-1) = 13×2 =26

(√3) ⁿ - 1 = 26

3 ^ (n/2) = 27 = 3³

n/2 = 3

n = 6 answer